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Finding the Fourth Proportional to 83,583.63, 125,371.04 and 27,416.34

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Solution

The fourth proportional to 83,583.63, 125,371.04 and 27,416.34 is: 41,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583.63 : 125,371.04 = 27,416.34 : x
  2. Step 2: Convert to fraction form
    83,583.63/125,371.04 = 27,416.34/x
  3. Step 3: Cross multiply
    83,583.63x = 125,371.04 × 27,416.34
  4. Step 4: Simplify right side
    83,583.63x = 3,437,214,921.71
  5. Step 5: Solve for x
    x = 3,437,214,921.71/83,583.63
  6. Step 6: Final answer
    x = 41,123.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.